Method for designing of elliptical structure and the same

ABSTRACT

A method for designing an elliptical structure with an outline of an approximate elliptic curve, which is generated by connecting circular segments to one another, and an elliptical structure created on said method. A first fixed point is established outside the elliptical structure; from the first fixed point, a straight line segment is drawn to the farthest end point of the minor axis through the origin; a first circular segment is drawn from said farthest end point of the minor axis with the use of the first fixed point as the center and the first straight line segment having the same length as that of said straight line segment as the radius, through an arbitrary angle set at said first fixed point; a second fixed point is established on said first straight line segment; a second circular segment following said first circular segment is drawn with the use of the second fixed point as the center and the second straight line segment as the radius, through an arbitrary angle set at said second fixed point; this step is repeated as required; an nth circular segment following (n−1)th circular segment and ranging from the finish end of the (n−1)th circular segment to the major axis is drawn with the use of the intersecting point of (n−1)th straight line segment and the major axis as the center, and a part of the (n−1)th straight line segment as the radius; and these steps are used to draw a part of the outline in each of the other quadrants for drawing the entire outline.

FIELD OF THE INVENTION

[0001] The present invention relates to a method for designing of anelliptical structure, and the same.

BACKGROUND

[0002] Conventional building structures are typically square,rectangular, and circular in horizontal section, and although some ofthem use walls having a variety of curves as outer walls and the like,structures which horizontal section is elliptical are not oftenencountered. If structures which outer walls partly adopts an ellipticcurve can be encountered, those which are entirely elliptical inhorizontal section, in other words, which entire perimeter forms anelliptical cylinder are rarely encountered. However, structures whichhorizontal section is elliptical are extremely graceful in shape, andhave a high strength, therefore, as future building structures providinga novel feeling and a beautiful appearance, they can be greatly expectedto be popularized.

[0003] Then, the present invention provides efficient and economic meansfor serving the design, drawing, land survey, manufacture, andconstruction in building an elliptical structure.

[0004] The elliptic curve is a quadratic curve which is characterized inthat the sum of the distances from a particular point thereon to the twofocuses of ellipse is constant. For drawing an elliptic curve, twocoordinate points which are to be on the elliptic curve may be connectedto each other with a single straight line as a convenient method, orwith a polygonal line approximate to the elliptic curve as a moreprecise method. However, for connecting two coordinate points to eachother with a polygonal line, the distance between the two coordinatepoints must be finely divided, and minute polygonal line components mustbe drawn, being connected to one another. Therefore, to connect twocoordinate points by means of such a polygonal line to provide anapproximate elliptic curve, complex computations and operations arerequired. Thus, using such an approximate elliptic curve which is thusobtained means that it requires intricate calculations and drawings indesigning an elliptical structure, and that it is not efficient,economical, and feasible in land surveying on the building site for theelliptical structure, and fabricating member materials for thestructure.

SUMMARY OF THE INVENTION

[0005] The present invention eliminates these problems by connectingcircular segments to provide an approximate elliptic curve. The locus ofa circle is determined depending upon the center and the radius, andthus a circular segment can be easily drawn. Therefore, connectingcircular segments to generate an approximate elliptic curve makes thedesign and drawing of elliptical structures substantially more efficientand provides feasible means for constructing elliptical structures.

[0006] The first purpose of the present invention is to provide anapproximate elliptic curve for an elliptical structure by connectingcircular segments.

[0007] The second purpose of the present invention is to provide amethod for designing an elliptical structure efficiently, economically,and practically by connecting circular segments to generate anapproximate elliptic curve.

[0008] The third purpose of the present invention is to provide anelliptical structure which can be efficiently, economically andpractically designed by connecting circular segments to generate anapproximate elliptic curve.

[0009] These purposes can be achieved by the present invention, whichembodiments will be described here with reference to the accompanyingdrawings. It is needless to say that any possible modifications andvariations of the present invention can be covered by the claims whichare later given.

[0010] As shown in the accompanying drawings which are described later,the present invention provides the following items [1], [2], and [3]:

[0011] [1] A method for designing an elliptical structure (A) which issymmetrical about the major axis (M) and the minor axis (N) thereof, andhas an outline (B₁) of an approximate elliptic curve, comprising thesteps of:

[0012] a) establishing a first fixed point (C₁) outside the ellipticalstructure (A); from the first fixed point (C₁), drawing a straight linesegment (L₀) to the farthest end point of the minor axis (N) through theintersecting point (o) of the major axis (M) and the minor axis (N); anddrawing a first circular segment (d₁) from said farthest end point (P₀)of the minor axis (N) with the use of the first fixed point (C₁) as thecenter and the first straight line segment (L₁) having the same lengthas that of said straight line segment (L₁) as the radius, through anarbitrary angle a α₁ set at said first fixed point (C₁);

[0013] b) establishing a second fixed point (C₂) on said first straightline segment (L₁); and drawing a second circular segment (d₂) followingsaid first circular segment (d₁) with the use of the second fixed point(C₂) as the center and the second straight line segment (L₂) as theradius, through an arbitrary angle a α₂ set at said second fixed point(C₂);

[0014] c) establishing a third fixed point (C₃) on said second straightline segment (L₂); and drawing a third circular segment (d₃) followingsaid second circular segment (d₂) with the use of the third fixed point(C₃) as the center and the third straight line segment (L₃) as theradius, through an arbitrary angle a,₃ set at said third fixed point(C₃);

[0015] d) repeating this step as required;

[0016] e) finally drawing an nth circular segment (d_(n)) following(n−1)th circular segment (d_(n−1)) and ranging from the finish end(P_(n−1)) of the (n−1)th circular segment (d_(n−1)) to the major axis(M) with the use of the intersecting point (C_(n)) of (n−1)th straightline segment (L_(n−1)) and the major axis (M) as the center, and a partof the (n−1)th straight line segment (L_(n−1)) as the radius; and

[0017] f) using these steps to draw a part of the outline (B₁) in eachof the other quadrants for drawing the entire outline (B₁).

[0018] [2] A method for designing an elliptical structure (A) which issymmetrical about the major axis (M) and the minor axis (N) thereof, andhas an outline (B₂) of an approximate elliptic curve, comprising thesteps of:

[0019] a) establishing a first fixed point (C,) outside the ellipticalstructure (A); from the first fixed point (C₁), drawing a straight linesegment (L₀) to the farthest end point (P₀) of the minor axis (N)through the intersecting point (o) of the major axis (M) and the minoraxis (N); and drawing a first circular segment (d₁₀) from said farthestend point (P₀) of the minor axis (N) with the use of the first fixedpoint (C₁) as the center and a first straight line segment (L₁₀) havingthe same length as the straight line segment (L₀) as the radius, throughan arbitrary angle α₁ set at said first fixed point (C₁);

[0020] b) establishing a second fixed point (C₂₀) on said first straightline segment (L₁₀); and drawing a second circular segment (d₂₀)following said first circular segment (d₁₀) with the use of the secondfixed point (C₂₀) as the center and the second straight line segment(L₂₀) as the radius, through an arbitrary angle a ₂ set at said secondfixed point (C₂₀);

[0021] c) finally drawing a third circular segment (d₃₀) following thesecond circular segment (d₂₀) and ranging from the finish end (P₂₀) ofthe second circular segment (d₂₀) to the major axis (M) with the use ofthe intersecting point (C₃₀) of the second straight line segment (L₂₀)and the major axis (M) as the center, and a part of the second straightline segment (L₂₀) as the radius; and

[0022] d) using these steps to draw a part of the outline (B₂) in eachof the other quadrants for drawing the entire outline (B₂).

[0023] [3] An elliptical structure (A) which has an outline (B₁), (B₂)of an approximate elliptic curve, being constructed using buildingmaterials designed by the method as mentioned in either of the item [1]and item [2].

BRIEF OF THE DESCRIPTION

[0024]FIG. 1 shows a bird's eye view of an elliptical structure (A) tobe built on the present invention;

[0025]FIG. 2 is an example of elliptic curve drawn for the ellipticalstructure as shown in FIG. 1;

[0026]FIG. 3 shows an embodiment of the method for designing anelliptical structure according to the present invention; and

[0027]FIG. 4 shows another embodiment of the method for designing anelliptical structure according to the present invention.

DESCRIPTION OF THE PREFERRED EMBODIMENT

[0028]FIG. 1 shows a bird's eye view of an elliptical structure (A) tobe built on the present invention. FIG. 2 is an example of ellipticcurve drawn for the elliptical structure (A) as shown in FIG. 1, whichoutline or perimeter basically forms an ellipse, the elliptic curvebeing provided as a result of mathematical computation made by manualoperation or by using such means as a computer. The elliptic curve has amajor axis (M) and a minor axis (N) on the coordinate axes x and y(providing center lines), respectively, a partial outline (b₁), (b₂),(b₃), and (b₄) in the first quadrant (I), the second quadrant (II), thethird quadrant (E), and the fourth quadrant (IV), respectively, beingconnected to one another to provide a complete outline (B) which formsan ellipse, and the elliptic curve is symmetrical about the major axis(M) and also about the minor axis (N).

[0029] Thus, with the present invention, the elliptic curve for theelliptical structure (A) is provided by connecting circular segments toone another.

[0030] Specifically, as shown in FIG. 3, an outline (B₁) approximatingsaid outline (B) is created by connecting circular segments to oneanother. In other words, the major axis (M) and the minor axis (N) forthe outline (B₁), i.e., the coordinate axes x and y are established, anda first fixed point (C₁) is established on the coordinate axis y. Bydrawing a straight line segment (L₀), which has a length equal to halfthe length of the previously established minor axis (N) plus the lengthfrom the first fixed point (C₁) to the major axis (M), i.e., the origin(o), which is the intersecting point of the major axis (M) and the minoraxis (N), a point (P₀) which must exist on the outline (B₁) isdetermined. An angle a α₁ is set at said first fixed point (C₁), and afirst circular segment (d₁) is drawn from the point (P₀) to a point (P₁)with the first fixed point (C₁) being used as the center, and a firststraight line segment (L₁), which length is set at the same as thelength of the straight line segment (L₀), being used as the radius. Inthis context, the point (P₁) provides a point where a first tangent linesegment (k₁) at the end of the first circular segment (d₁) forms a rightangle with the first straight line segment (L₁), in other words, anangle γ₁ at the point (P₁) is 90 deg. The first circular segment (d₁)drawn provides the partial outline (b₁) as mentioned above.

[0031] Next, a point distant from the first fixed point (C₁) by anarbitrary length l₁. is established as a second fixed point (C₂) on thefirst straight line segment (L₃); an angle of a ₂ is set to draw asecond straight line segment (L₂) to a point (P₂); and with the secondfixed point (C₂) being used as the center, and the second straight linesegment (L₂) being used as the radius, a second circular segment (d₂),which follows the first circular segment (d₁), is drawn to the point(P₂). The beginning of the second circular segment (d₂) provides a pointwhere a second tangent line segment (k′₁) at the start end of the secondcircular segment (d₂) forms a right angle with the first straight linesegment (L₁), in other words, an angle γ′₁ at the point (P₁) is 90 deg.Thus, the angle γ₁ plus the angle γ′₁ is equal to 180 deg, and at thepoint (P₁), the first tangent line segment (k₁) for the first circularsegment (d₁) and the second tangent line segment (k′₁) at the start endof the second circular segment (d₂) form a straight line segment,thereby the first circular segment (d₁) drawn previously and the secondcircular segment (d₂) drawn subsequently are smoothly and curvedlyconnected to each other with no offset being produced.

[0032] Next, a point distant from the second fixed point (C₂) by anarbitrary length l₂ is established as a third fixed point (C₃) on thesecond straight line segment (L₂); an angle of α₃ is set to draw a thirdstraight line segment (L₃) to a point (P₃); and with the third fixedpoint (C₃) being used as the center, and the third straight line segment(L₃) being used as the radius, a third circular segment (d₃), whichfollows the second circular segment (d₂), is drawn to the point (P₃).The beginning of the third circular segment (d₃) provides a point wherea third tangent line segment (k₂) at the finish end of the secondcircular segment (d₂) and a fourth tangent line segment (k′₂) at thestart end of the third circular segment (d₃) form a right angle with thesecond straight line segment (L₂), respectively, in other words, anangle δ₂, γ′₂ at the point (P₂) is 90 deg. Thus, the angle γ₂ plus theangle γ′₂ is equal to 180 deg, and at the point (P₂), the third tangentline segment (k₂) for the second circular segment (d₂) and the fourthtangent line segment (k′₂) for the third circular segment (d₃) form astraight line segment, thereby the second circular segment (d₂) drawnpreviously and the third circular segment (d₃) drawn subsequently aresmoothly and curvedly connected to each other with no offset beingproduced.

[0033] Next, a point distant from the third fixed point (C₃) by anarbitrary length l₃ is established as a fourth fixed point (C₄) on thethird straight line segment (L₃); an angle of a α₄ is set to draw afourth straight line segment (L₄) to a point (P₄); a point where themajor axis (M) intersects with the fourth straight line segment (L₄) isestablished as a fifth fixed point (C₅), which is the final fixed point;and a fifth circular segment (d₅), which follows the fourth circularsegment (d₄), is drawn to the major axis (M) to provide a point (P₅). Bythis, one end of the major axis (M) is actually established. The anglewhich the third straight line segment (L₃) forms with tangent linesegments at the point (P₃) and that which the fourth straight linesegment (L₄) forms with tangent line segments at the point (P₄) are 180deg (as a result of 90 deg plus 90 deg), respectively, as is the case atthe point (P₂). In this way, a partial outline (b,) is sequentiallyformed in the first quadrant (I) for the outline (B₁).

[0034] If the values of angles α₁, α₂, α₃, and α₄, and the values oflengths l₁l₂, and l₃ are given, the values of lengths l₄ and l₅ can bedetermined by calculation (as later described). Then, as can be easilyconjectured from FIG. 4 (although this figure illustrates anotherembodiment of the present invention), the same technique is used to drawa partial outline (b₂) at left of the first fixed point (C₁) in thesecond quadrant (II) for the outline (B₁), and for the third quadrant(III) and the fourth quadrant (IV), a fixed point (C′₁) is establishedat the point symmetrical to the first fixed point (C₁), and by the sametechnique, partial outlines (b₃) and (b₄) are drawn. Now, said entireoutline (B₁) has been formed by these partial outlines (b₁), (b₂), (b₃)and (b₄). By increasing the number of angles α₁ as α₁, α₂, α₃, α₄, andα₅, . . . , and the number of straight line segments L, as L₁, L₂, L₃,and L₄, . . . , the deviation of the components of the outline (B₁) fromthe corresponding components of the real elliptic curve can bedecreased, in other words, the precision of the outline (B₁) created canbe enhanced.

[0035] In FIG. 3, the length of the straight line segment (L₀) is equalto the distance between the first fixed point (C₁) and the point (P₀);the length of the first straight line segment (L₁) is equal to thedistance between the first fixed point (C₁) and the point (P₁); thelength of the second straight line segment (L₂) is equal to the distancebetween the second fixed point (C₂) and the point (P₂); the length ofthe fourth straight line segment (L₄) is equal to the distance betweenthe fourth fixed point (C₄) and the point (P₄); (although it is notindicated in the figure), the length of the nth straight line segment(L_(n)) is equal to the distance between the nth fixed point (C_(n)) andthe point (P_(n)); and the intersecting point of the major axis (M) andthe (n−1)th straight line segment (L_(n−1)) provide the nth fixed point(C_(n)), which is the final fixed point.

[0036] Further, in FIG. 3, the length l₁ is equal to the distancebetween the first fixed point (C₁) and the second fixed point (C₂); thelength l₂ is equal to the distance between the second fixed point (C₂)and the third fixed point (C₃); the length l₃ is equal to the distancebetween the third fixed point (C₃) and the fourth fixed point (C₄); thelength l₄ is equal to the distance between the fourth fixed point (C₄)and the fifth fixed point (C₅); and here the distance between the fifthfixed point (C₅) and the point (P₄) is equal to the distance between thefifth fixed point (C₅) and the point (P₅), therefore, the length of thefifth straight line segment (L₅) is equal to the length l₅. Here, thelength of the fifth straight line segment (L₅) is equal to the distancebetween the fifth fixed point (C₅) and the point (P₅), which is equal tothe length of the fourth straight line segment (L₄) minus the length l₄.The fifth fixed point (C₅) is said final fixed point, which provides theintersecting point of the fourth straight line segment (L₄) drawn fromthe fourth fixed point (C₄) and the major axis (M). By drawing a fifthcircular segment (d₅), which follows the fourth circular segment (d₄),from the point (P₄) to the major axis (M), with the fifth fixed point(C₅) being used as the center, said point (P₅) is provided. Thereby, asstated above, the partial outline (b₁) is completed in the firstquadrant. Here, if a straight line segment (s) which is parallel to they axis is drawn from the fourth fixed point (C₄) toward the x axis, theangle θ formed between the straight line segment (s) and the fourthstraight line segment (L₄) is equal to the sum of the angles α₁, α₂, α₃,and α₄.

[0037] Hereinbelow, it will be described that, by arbitrarilydetermining the distance between the first fixed point (C₁) and thepoint (P₀), the distance between the first fixed point (C₁) and theorigin (o), half the length of the minor axis (N), i.e., [N/2], thelengths l₁, l₂, and l₃, the angles α₁, α₂, α₃, and α₄, the lengths l₄and l₅ can be determined. In FIG. 3, it is assumed that the intersectingpoint of a straight line drawn from the second fixed point (C₂) inparallel with the x axis and intersecting with the y axis is E₁, thedistance between the first fixed point (C₁) and E₁is l′₁; theintersecting point of a straight line drawn from the third fixed point(C₃) in parallel with the x axis and intersecting with the y axis is E₂,the distance between E₁ and E₂ is l′₂; and the intersecting point of astraight line drawn from the fourth fixed point (C₄) in parallel withthe x axis and intersecting with the y axis is E₃, the distance betweenE₂ and E₃ is l′₃. Then, l′₂ is equal to the distance between E₁ and E₂;l′₃ is equal to the distance between E₂ and E₃; and l′₄ is equal to thedistance between E₃ and the origin (o). Here is a description usingmathematical expressions. $\begin{matrix}{{\cos \quad \alpha_{1}} = \frac{l_{1}^{\prime}}{l_{1}}} & \quad \\{l_{1} = {{\frac{l_{1}^{\prime}}{\cos \quad \alpha_{1}}\quad l_{1}^{\prime}} = {l_{1}\quad \cos \quad \alpha_{1}}}} & (1) \\{l_{2} = {{\frac{l_{2}^{\prime}}{\cos \quad ( {\alpha_{1} + \alpha_{2}} )}\quad l_{2}^{\prime}} = {l_{2}\quad \cos \quad ( {\alpha_{1} + \alpha_{2}} )}}} & (2) \\{l_{3} = {{\frac{l_{3}^{\prime}}{\cos \quad ( {\alpha_{1} + \alpha_{2} + \alpha_{3}} )}\quad l_{3}^{\prime}} = {l_{3}\quad \cos \quad ( {\alpha_{1} + \alpha_{2} + \alpha_{3}} )}}} & (3)\end{matrix}$

[0038] If C_(1,0) denotes the distance between C₁ and o, and P₀, C₁ thedistance between P₀ and C₁,

C _(1,0) =P ₀ , C ₁ −N/2

[0039] is a known number, and l′₁, l′₂, and l′₃ can be calculated fromthe above equations (1), (2), and (3), thus, l′₄ can be determined fromthe equation:

l′ ₄ =C _(1,0) −l′ ₁ −l′ ₂ −l′ ₃

[0040] Then, by the equation:${\cos \quad \theta} = \frac{l_{4}^{\prime}}{l_{4}}$

[0041] the value of l₄ can be determined as follows:$l_{4} = \frac{l_{4}^{\prime}}{\cos \quad \theta}$

[0042] where θ is expressed by the following equation:

θ=α₁+α₂+α₃+α₄

[0043] Then, the length of the fourth straight line segment (L₄) isequal to the length of the straight line segment (L₀) minus (l₁+l₂+l₃),and l₅ is equal to the length of L₄ minus l₄, thus, the value of l₅ canbe calculated.

[0044] The length of the nth straight line segment (L_(n)), where n≧2,is equal to the length of the (n−1)th straight line segment (L_(n−1))minus l_(n−1), where l_(n−1) is expressed by the following equation:$l_{n - 1} = \frac{l_{n - 1}^{\prime}}{\cos \quad ( {\alpha_{1} + \alpha_{2} + \cdots + \alpha_{n - 1}} )}$

[0045]FIG. 4 shows another embodiment. In FIG. 4, to create an outline(B₂) which approximate said outline (B), the major axis (M) and theminor axis (N) for the outline (B₂) of a building (A), i.e., thecoordinate axes x and y are established; a first fixed point (C₁) isestablished on the coordinate axis y; by drawing a straight line segment(L₀), which has a length equal to half the length of the previouslyestablished minor axis (N) plus the length from the first fixed point(C₁) to the major axis (M), i.e., the origin (o), which is theintersecting point of the major axis (M) and the minor axis (N), a point(P₀) which must exist on the outline (B₂) is determined; an angle α₁ isset at said first fixed point (C₁); a first circular segment (d₁₀) isdrawn from the point (P₀) to a point (P₁₀) with the first fixed point(C₁) being used as the center, and a first straight line segment (L₁₀),which length is set at the same as the length of the straight linesegment (L₀), being used as the radius. The point (P₁₀) provides a pointwhere an angle γ₁ at the point (P₁₀) is 90 deg, in other words, a firsttangent line segment (k₁₀) at the end of the first circular segment(d₁₀) forms a right angle with the first straight line segment (L₁₀).

[0046] Next, a point distant from the first fixed point (C₁) by anarbitrary length l₁₀ is established as a second fixed point (C₂₀) on thefirst straight line segment (L₁₀); An angle of α₂ is set to draw asecond straight line segment (L₂₀) to a point (P₂₀); and with the secondfixed point (C₂₀) being used as the center, and the second straight linesegment (L₂₀) being used as the radius, a second circular segment (d₂₀),which follows the first circular segment (d₁₀), is drawn to the point(P₂₀). The beginning of the second circular segment (d₂₀) provides apoint where a second tangent line segment (k′₁₀) at the start end of thesecond circular segment (d₂₀) forms a right angle with the firststraight line segment (L₁₀), in other words, an angle γ′₁ at the point(P₁₀) is 90 deg. Thus, the angle γ₁ plus the angle γ′₁ is equal to 180deg, and at the point (P₁₀), the first tangent line segment (k₁₀) forthe first circular segment (d₁₀) and the second tangent line segment(k′₁₀) at the start end of the second circular segment (d₂₀) form astraight line segment, thereby the first circular segment (d₁₀) drawnpreviously and the second circular segment (d₂₀) drawn subsequently aresmoothly and curvedly connected to each other with no offset beingproduced.

[0047] Also at the point (P₂₀), the angle γ₂ plus the angle γ′₂ is equalto 180 deg, and at the point (P₂₀), a third tangent line segment (k₂₀)for the second circular segment (d₂₀) and a fourth tangent line segment(k′₂₀) at the start end of a third circular segment (d₃₀) (laterdescribed) form a straight line segment, thereby the second circularsegment (d₂₀) drawn previously and the third circular segment (d₃₀)drawn subsequently are smoothly and curvedly connected to each otherwith no offset being produced.

[0048] In this case, the second circular segment (d₂₀) intersects withthe major axis at an angle of α₃, and the sum of the angles α₁, α₂, andα₃ is equal to 90°By using this intersecting point as a third fixedpoint (C₃₀) (the final fixed point), the third circular segment (d₃₀),which follows the second circular segment (d₂₀), is drawn to the majoraxis (M). Thereby, one end of the major axis (M), i.e., a point (P₃₀),is determined. In this way, a partial outline (b₁) is sequentiallyformed in the first quadrant (I) for the outline (B₂).

[0049] In FIG. 4, the length of the straight line segment (L₀) is equalto the distance between the first fixed point (C₁) and the point (P₀);the length of the first straight line segment (L₁₀) is equal to thedistance between the first fixed point (C₁) and the point (P₁₀); and thelength of the second straight line segment (L₂₀) is equal to thedistance between the second fixed point (C₂₀) and the point (P₂₀).Therefore, if the values of angles α₁ and α₂, and the value of lengthl₁₀ are given, the length of the second straight line segment (L₂₀) isdetermined, and the values of lengths l₂₀ and l₃₀ can be determined bycalculation. In other words, if the third fixed point (C₃₀) isestablished, the length l₂₀ can be determined, and thus the length l₃₀can be determined from the relationship: the length l₃₀ is equal to thelength of the second straight line segment (L₂₀) subtracted by thelength l₂₀.

[0050] Thus, also in the present embodiment, the elliptic curve for anelliptical structure (A) can be formed by connecting circular segmentsto one another.

[0051] Then, as shown in FIG. 4, the same technique is used to draw apartial outline (b₂) at left of the first fixed point (C₁) in the secondquadrant (II) for the outline (B₂), and for the third quadrant (III) andthe fourth quadrant (IV), a fixed point (C′₁) is established at thepoint symmetrical to the first fixed point (C₁), and by the sametechnique, partial outlines (b₃) and (b₄) are drawn. Now, said entireoutline (B₂) has been formed by these partial outlines (b₁), (b₂), (b₃)and (b₄).

[0052] Thus, with the present invention, the members based on the firstcircular segment (d₁) to the fifth circular segment (d₅), and the firstcircular segment (d₁) to the third circular segment (d₃) as shown inFIGS. 3 and 4, respectively, are individually designed and manufacturedto be connected to one another for creating building materials for allthe four quadrants, which are then assembled to one another to provide aparticular floor of the elliptical structure (A), and all the floors arejointed to one another to provide an entire elliptical structure (A).

[0053] The present invention can provide efficient and economic meansfor serving the design, drawing, land survey, manufacture, andconstruction in building an elliptical structure on a particular site.The present invention allows forming the outline of an ellipticalstructure by connecting circular segments while smoothly forming thejoint of the respective circular segments, and makes it possible toperform the related computation by setting the radii of the respectivecircular segments and the required angles, thus permitting efficientconstruction of elliptical structures. Such elliptical structures areexcellent in structural strength, durable, and helpful to prevent strongwind blowing along a street of highrise buildings.

What is claimed is:
 1. A method for designing an elliptical structurewhich is symmetrical about the major axis and the minor axis thereof,and has an outline of an approximate elliptic curve, comprising thesteps of: a) establishing a first fixed point outside the ellipticalstructure; from the first fixed point, drawing a straight line segmentto the farthest end point of the minor axis through the intersectingpoint of the major axis and the minor axis; and drawing a first circularsegment from said farthest end point of the minor axis with the use ofthe first fixed point as the center and the first straight line segmenthaving the same length as that of said straight line segment as theradius, through an arbitrary angle set at said first fixed point; b)establishing a second fixed point on said first straight line segment;and drawing a second circular segment following said first circularsegment with the use of the second fixed point as the center and thesecond straight line segment as the radius, through an arbitrary angleset at said second fixed point; c) establishing a third fixed point onsaid second straight line segment; and drawing a third circular segmentfollowing said second circular segment with the use of the third fixedpoint as the center and the third straight line segment as the radius,through an arbitrary angle set at said third fixed point; d) repeatingthis step as required; e) finally drawing an nth circular segmentfollowing (n−1)th circular segment and ranging from the finish end ofthe (n−1)th circular segment to the major axis with the use of theintersecting point of (n−1)th straight line segment and the major axisas the center, and a part of the (n−1)th straight line segment as theradius; and f) using these steps to draw a part of the outline in eachof the other quadrants for drawing the entire outline.
 2. A method fordesigning an elliptical structure which is symmetrical about the majoraxis and the minor axis thereof, and has an outline of an approximateelliptic curve, comprising the steps of: a) establishing a first fixedpoint outside the elliptical structure; from the first fixed point,drawing a first straight line segment to the farthest end point of theminor axis through the intersecting point of the major axis and theminor axis; and drawing a first circular segment from said farthest endpoint of the minor axis with the use of the first fixed point as thecenter and the first straight line segment as the radius, through anarbitrary angle set at said first fixed point; b) establishing a secondfixed point on said first straight line segment; and drawing a secondcircular segment following said first circular segment with the use ofthe second fixed point as the center and the second straight linesegment as the radius, through an arbitrary angle set at said secondfixed point; c) finally drawing a third circular segment following thesecond circular segment and ranging from the end of the second circularsegment to the major axis with the use of the intersecting point of thesecond straight line segment and the major axis as the center, and apart of the second straight line segment as the radius; and d) usingthese steps to draw a part of the outline in each of the other quadrantsfor drawing the entire outline.
 3. An elliptical structure which has anoutline of an approximate elliptic curve, being constructed usingbuilding materials designed by the method as claimed in either of theclaim 1 and claim 2.